NEED FRET SPACING FOR 24 3/4" NECK

[Keith Sutcliffe]

I working on the building the neck of my first guitar. The neck fret
scaling the I'm building is 24 3/4" (the same as a gibson Les Paul)
however the book I'm working with is all screwed up and can't possibly
have the correct fret scaling. The book is trying to tell me that the
fret spacings for a 25" neck and closer together than that of a 24 3/4",
go figure. If there is anyone who could possibly send me the correct
fret spacings it would be most appreciated. I'm going to use 22 frets in
total. Imperial scaling would be best but even metric would be great.

Thanks Keith.
<sutc...@idirect.com>

[Craig Lamparter]

I'm only a math minor, but I was under the impression that you
could calculate fret distances by multiplying the 12th root of 2 by
the vibrating length of the string, and that would give you the distance
from the nut to the first fret, then first to second fret, etc;
(fretting the string off at each new fret to calculate the new string
length).

but then again, I could be wrong.

Craig.

[gary watts]

Keith Sutcliffe (sutc...@idirect.com) wrote:
: I working on the building the neck of my first guitar. The neck fret

Here you go. This is from a fret program (written in C) that I got off
the newsgroups a year or so ago:

Scale Length: 24.75 in; Number of Frets: 24
Fret 1: 1.389 in from previous fret; 1.389 in from nut.
Fret 2: 1.311 in from previous fret; 2.700 in from nut.
Fret 3: 1.238 in from previous fret; 3.938 in from nut.
Fret 4: 1.168 in from previous fret; 5.106 in from nut.
Fret 5: 1.103 in from previous fret; 6.208 in from nut.
Fret 6: 1.041 in from previous fret; 7.249 in from nut.
Fret 7: 0.982 in from previous fret; 8.231 in from nut.
Fret 8: 0.927 in from previous fret; 9.158 in from nut.
Fret 9: 0.875 in from previous fret; 10.034 in from nut.
Fret 10: 0.826 in from previous fret; 10.860 in from nut.
Fret 11: 0.780 in from previous fret; 11.639 in from nut.
Fret 12: 0.736 in from previous fret; 12.375 in from nut.
Fret 13: 0.695 in from previous fret; 13.070 in from nut.
Fret 14: 0.656 in from previous fret; 13.725 in from nut.
Fret 15: 0.619 in from previous fret; 14.344 in from nut.
Fret 16: 0.584 in from previous fret; 14.928 in from nut.
Fret 17: 0.551 in from previous fret; 15.479 in from nut.
Fret 18: 0.520 in from previous fret; 16.000 in from nut.
Fret 19: 0.491 in from previous fret; 16.491 in from nut.
Fret 20: 0.464 in from previous fret; 16.954 in from nut.
Fret 21: 0.438 in from previous fret; 17.392 in from nut.
Fret 22: 0.413 in from previous fret; 17.805 in from nut.
Fret 23: 0.390 in from previous fret; 18.195 in from nut.
Fret 24: 0.368 in from previous fret; 18.562 in from nut.

[John Sheehy]

Craig Lamparter <cra...@ecst.csuchico.edu> writes:

>I'm only a math minor, but I was under the impression that you
>could calculate fret distances by multiplying the 12th root of 2 by
>the vibrating length of the string, and that would give you the distance
>from the nut to the first fret, then first to second fret, etc;
>(fretting the string off at each new fret to calculate the new string
>length).

You have to *divide* the scale length by the 12th root of 2 to get the
distance from the bridge to the first fret, and then divide again for
the second fret, etc. In practice, this may amplify error if you round
off, so make sure you use a calculation method where the precision is
preserved, or better yet, divide the scalelength by 2^(N/12), where n is
the fret number. It's easier to measure from the nut, though, so
subtract these resulting values from the scale length to measure from
the nut.

<>>< ><<> ><<> <>>< ><<> <>>< <>>< ><<>
John P Sheehy <jsh...@ix.netcom.com>
><<> <>>< <>>< ><<> <>>< ><<> ><<> <>><

[hop...@physics.umr.edu]

Keith Sutcliffe wrote:
>
> I working on the building the neck of my first guitar. The neck fret
> scaling the I'm building is 24 3/4" (the same as a gibson Les Paul)
> however the book I'm working with is all screwed up and can't possibly
> have the correct fret scaling. The book is trying to tell me that the
> fret spacings for a 25" neck and closer together than that of a 24 3/4",
> go figure. If there is anyone who could possibly send me the correct
> fret spacings it would be most appreciated. I'm going to use 22 frets in
> total. Imperial scaling would be best but even metric would be great.
>

> Thanks Keith.
> <sutc...@idirect.com>

fret factor scale nut to fret nut to fret
1 .056126 24.75 1.389111 1 25/64
2 .109101 24.75 2.700257 2 45/64
3 .159104 24.75 3.937814 3 60/64
4 .206299 24.75 5.105912 5 7/64
5 .250846 24.75 6.208450 6 13/64
6 .292893 24.75 7.249107 7 16/64
7 .332580 24.75 8.231357 8 15/64
8 .370039 24.75 9.158477 9 10/64
9 .405396 24.75 10.033562 10 2/64
10 .438769 24.75 10.859532 10 55/64
11 .470268 24.75 11.639144 11 41/64
12 .500000 24.75 12.375000 12 24/64
13 .528063 24.75 13.069555 13 4/64
14 .554551 24.75 13.725128 13 46/64
15 .579552 24.75 14.343907 14 22/64
16 .603150 24.75 14.927956 14 59/64
17 .625423 24.75 15.479225 15 31/64
18 .646447 24.75 15.999554 16
19 .666290 24.75 16.490678 16 31/64
20 .685020 24.75 16.954239 16 61/64
21 .702698 24.75 17.391781 17 25/64
22 .719384 24.75 17.804766 17 52/64

Keith
hope this helps. You can use this for any scale. Multiply the
factor by the new scale length to get the nut to fret distance
for that fret. Always measure from the nut to avoid accumulating
errors.

keep pluckin'

Ray